Multiplying using Area Models and Partial Products

Front

What is an area model in multiplication?

Back

An area model is a visual representation of multiplication that shows how to break numbers into parts to make the multiplication process easier.

Front

What are partial products?

Back

Partial products are the results of multiplying each digit of one number by each digit of another number, before adding them together to get the final product.

Front

How do you use an area model to multiply 43 x 37?

Back

Break 43 into 40 and 3, and 37 into 30 and 7. Then, create a grid to find the products: 40x30, 40x7, 3x30, and 3x7. Add all the partial products together.

Front

What is the first step in using partial products for multiplication?

Back

The first step is to break each number into its place values.

Front

Calculate the partial products for 38 x 37.

Back

The partial products are: 30x30=900, 30x7=210, 8x30=240, 8x7=56. Add them: 900 + 210 + 240 + 56 = 1406.

Front

What does the term 'distributive property' mean in multiplication?

Back

The distributive property states that a number can be multiplied by a sum by multiplying each addend separately and then adding the products.

Front

If you multiply 4 x 379 using an area model, what parts do you break 379 into?

Back

You break 379 into 300, 70, and 9.

Front

What is the product of 4 x 300?

Back

The product is 1200.

Front

What is the product of 4 x 70?

Back

The product is 280.

Front

What is the product of 4 x 9?

Back

The product is 36.